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13230244314 = 23272149100673
BaseRepresentation
bin11000101001001010…
…11000000111011010
31021011001001001021200
430110211120013122
5204043420304224
610024454015030
7645600135600
oct142445300732
937131031250
1013230244314
11567a145411
122692947476
13132acb8241
148d7181870
155267825c9
hex3149581da

13230244314 has 72 divisors (see below), whose sum is σ = 33569745300. Its totient is φ = 3754662912.

The previous prime is 13230244277. The next prime is 13230244337. The reversal of 13230244314 is 41344203231.

13230244314 is a `hidden beast` number, since 1 + 3 + 2 + 302 + 44 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13228910289 + 1334025 = 115017^2 + 1155^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81082 + ... + 181754.

Almost surely, 213230244314 is an apocalyptic number.

13230244314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230244314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784872650).

13230244314 is an abundant number, since it is smaller than the sum of its proper divisors (20339500986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13230244314 is a wasteful number, since it uses less digits than its factorization.

13230244314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100844 (or 100834 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13230244314 its reverse (41344203231), we get a palindrome (54574447545).

The spelling of 13230244314 in words is "thirteen billion, two hundred thirty million, two hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 149 294 298 441 447 882 894 1043 1341 2086 2682 3129 6258 7301 9387 14602 18774 21903 43806 65709 100673 131418 201346 302019 604038 704711 906057 1409422 1812114 2114133 4228266 4932977 6342399 9865954 12684798 14798931 15000277 29597862 30000554 44396793 45000831 88793586 90001662 105001939 135002493 210003878 270004986 315005817 630011634 735013573 945017451 1470027146 1890034902 2205040719 4410081438 6615122157 13230244314